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December 15, 2021: Richard Booth: Conditional Inference under Disjunctive Rationality

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Luci Lunch Seminars - Autumn 2021 Series - by the LUCI (Logic, Computation and Information) Group

Richard Booth (Cardiff University)

Conditional Inference under Disjunctive Rationality

December 15, 2021: Zoom, H 13:00-15:00.

In order to obtain the link for the webinar, please write to: logic.unimi@gmail.com


The question of conditional inference, i.e., of which conditional sentences of the form “if α then, normally, β” should follow from a set KB of such sentences, has been one of the classic questions of AI, with several well-known solutions proposed. Perhaps the most notable is the rational closure construction of Lehmann and Magidor, under which the set of inferred conditionals forms a rational consequence relation, i.e., satisfies all the rules of preferential reasoning, plus Rational Monotonicity. However, this last named rule is not universally accepted, and other researchers have advocated working within the larger class of disjunctive consequence relations, which satisfy the weaker requirement of Disjunctive Rationality. While there are convincing arguments that the rational closure forms the “simplest” rational consequence relation extending a given set of conditionals, the question of what is the simplest disjunctive consequence relation has not been explored. In this talk, we propose a solution to this question and explore some of its properties. (This is joint work with Ivan Varzinczak.)

The meeting will be held in English.

Participation is strongly recommended to students of the Doctoral School in Philosophy and Human Sciences and to students of the Doctoral School of Mind, Brain, and Reasoning.

Everyone interested is welcome to attend.

The Logic Group, Department of Philosophy, University of Milan - luci.unimi.it

15 December 2021
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